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Application of anisotropic diffusion to electromagmetic sounding curve smoothing

YAN Jia-bin~(1,2),LIU Gui-zhong~1(1.School of Electronic and information engineering,Xi'an Jiaotong University,Xi'an 710049,China;2.School of Info-Physics and Geomatics Engineering,Central South University,Changsha 410083,China)  
Estimated apparent resistivity or phase curve may be distorted because electromagnetic methods are influenced by noise easily,and influences accuracy of inversion.It is key and difficult point of data processing currently how to smooth the curve effectively.In the paper anisotropic diffusion(AD) is introduced to curve smoothing and the method of curve smoothing based on AD is proposed.In the method nonincreasing function of gradient is taken for diffusion velocity,if gradient of smoothing point is larger,then the diffusion velocity will be low and features of curve will be preserved,Otherwise the diffusion velocity will be larger and disturbance by noise will be smoothed out.Meanwhile preprocessing is done by Locally Monotionic Diffusion in order to reduce influence of "outlies".The results of Field data show that the method can remove noise and "outlies" effectively,restore basis shape of curve and preserve its features effectively.
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